This problem asks you to show that
integral : sec x dx = ln sec x + tan x + C: (1)
(a) Write sec x as cos x=(1-sin^2x) and make a substitution to simplify the integral.
(b) Integrate the resulting rational function by the partial fractions method.
(c) Use the identity sin^2x + cos^2x = 1 to show that your result is equal to (1).?

Question

This problem asks you to show that
integral : sec x dx = ln sec x + tan x + C: (1)
(a) Write sec x as cos x=(1-sin^2x) and make a substitution to simplify the integral.
(b) Integrate the resulting rational function by the partial fractions method.
(c) Use the identity sin^2x + cos^2x = 1 to show that your result is equal to (1).?

raden · Answer

we can multiply secx by (secx+tanx)/(secx+tanx)

raden · Answer

so, it can be integr (sec^2x+secxtanx)dx/(secx+tanx)
next we can use u-subt method for prove it

anonymous · Answer

how would i do that? can you please break it down for me/

raden · Answer

ok, look here...|dw:1359062780974:dw|